Corings and comodules
Comodules Corings (Algebra) e-böcker
Cambridge University Press
2003
EISBN 9780511065620
Cover; Series-title; Title; Copyright; Contents; Preface; Notations; Chapter 1 Coalgebras and comodules; Chapter 2 Bialgebras and Hopf algebras; Chapter 3 Corings and comodules; Chapter 4 Corings and extensions of rings; Chapter 5 Corings and entwining structures; Chapter 6 Weak corings and entwinings; Appendix; Bibliography; Index.
This is the first extensive treatment of the theory of corings and their comodules. In the first part, the module-theoretic aspects of coalgebras over commutative rings are described. Corings are then defined as coalgebras over non-commutative rings. Topics covered include module-theoretic aspects of corings, such as the relation of comodules to special subcategories of the category of modules (sigma-type categories), connections between corings and extensions of rings, properties of new examples of corings associated to entwining structures, generalisations of bialgebras such as bialgebroids.
This is the first extensive treatment of the theory of corings and their comodules. In the first part, the module-theoretic aspects of coalgebras over commutative rings are described. Corings are then defined as coalgebras over non-commutative rings. Topics covered include module-theoretic aspects of corings, such as the relation of comodules to special subcategories of the category of modules (sigma-type categories), connections between corings and extensions of rings, properties of new examples of corings associated to entwining structures, generalisations of bialgebras such as bialgebroids.
